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Baris 6: \| euler = \| edges = 4 (untuk [[persegi]] dan [[persegi panjang]] \| schläfli = {4~~ ~~} Untuk persegi \| wythoff = \| coxeter = Baris 47: == Segi empat kompleks == [[Berkas:DU21 facets.png\|thumb\|upright=0.8\|Antiparallelogram]] Sebuah berpotongan sendiri segiempat disebut dengan berbagai sebuah '''cross-segiempat''', menyeberangi segiempat, '''kupu-kupu segiempat''' atau '''kupu-kupu segiempat'''. Dalam segiempat melintang, empat "interior" sudut di kedua sisi persimpangan (dua refleks akut dan dua , semua di sebelah kiri atau semua di sebelah kanan saat gambar ditelusuri) menambahkan hingga 720 °.<ref>[{{Cite web \|url=http://mysite.mweb.co.za/residents/profmd/stars.pdf \|title=Stars: A Second Look] \|access-date=2020-07-06 \|archive-date=2016-03-03 \|archive-url=https://web.archive.org/web/20160303182521/http://mysite.mweb.co.za/residents/profmd/stars.pdf \|dead-url=yes }}</ref> * [[Palang trapesium]] (AS) atau trapezium (Persemakmuran):<ref>{{cite web \| url=https://blogs.adelaide.edu.au/maths-learning/2016/04/06/the-crossed-trapezium/ \| title=The crossed trapezium \| last=Butler \| first=David \| date=2016-04-06 \| website=Making Your Own Sense \| access-date=2017-09-13}}</ref> silang segiempat di mana (seperti trapesium ) sepasang sisi yang tidak berdekatan adalah sejajar Baris 116: == Rumus non-trigonometri == Dua rumus berikut ini menyatakan bidang dalam hal sisi ''a , b , c , d'', semikeliling ''s'', dan diagonal ''p , q'': :<math>K = \sqrt{(s-a)(s-b)(s-c)(s-d) - \tfrac{1}{4}(ac+bd+pq)(ac+bd-pq)},</math> <ref>J. L. Coolidge, "A historically interesting formula for the area of a quadrilateral", ''American Mathematical Monthly'', 46 (1939) 345–347.</ref> :<math>K = \tfrac{1}{4} \sqrt{4p^{2}q^{2}- \left( a^{2}+c^{2}-b^{2}-d^{2} \right) ^{2}}.</math> <ref>{{cite web \|author=E.W. Weisstein \|title=Bretschneider's formula \|url=http://mathworld.wolfram.com/BretschneidersFormula.html \|publisher=MathWorld – A Wolfram Web Resource}}</ref> Yang pertama direduksi menjadi rumus Brahmagupta dalam kasus segi empat siklik, sejak saat itu pq = ''ac + bd''. Daerah tersebut juga dapat dinyatakan dalam istilah bimedian ''m , n'' dan diagonal ''p , q'': :<math>K=\tfrac{1}{2}\sqrt{(m+n+p)(m+n-p)(m+n+q)(m+n-q)},</math> <ref>Archibald, R. C., "The Area of a Quadrilateral", ''American Mathematical Monthly'', 29 (1922) pp. 29–36.</ref> :<math>K=\tfrac{1}{2}\sqrt{p^2q^2-(m^2-n^2)^2}.</math> <ref name=Josefsson3>{{citation \| last = Josefsson \| first = Martin \| journal = Forum Geometricorum Baris 157: * [http://www.mathopenref.com/tocs/quadrilateraltoc.html Definitions and examples of quadrilaterals] and [http://www.mathopenref.com/tetragon.html Definition and properties of tetragons] from Mathopenref * [http://dynamicmathematicslearning.com/quad-tree-web.html A (dynamic) Hierarchical Quadrilateral Tree] at [http://dynamicmathematicslearning.com/JavaGSPLinks.htm Dynamic Geometry Sketches] * [http://mysite.mweb.co.za/residents/profmd/quadclassify.pdf An extended classification of quadrilaterals] {{Webarchive\|url=https://web.archive.org/web/20191230004754/http://mysite.mweb.co.za/residents/profmd/quadclassify.pdf \|date=2019-12-30 }} at [http://mysite.mweb.co.za/residents/profmd/homepage4.html Dynamic Math Learning Homepage] {{Webarchive\|url=https://web.archive.org/web/20180825150046/http://mysite.mweb.co.za/residents/profmd/homepage4.html \|date=2018-08-25 }} * [http://comic.socksandpuppets.com/view.php?date=2008-02-08 Quadrilateral Venn Diagram] {{Webarchive\|url=https://web.archive.org/web/20110907024856/http://comic.socksandpuppets.com/view.php?date=2008-02-08 \|date=2011-09-07 }} Quadrilaterals expressed in the form of a Venn diagram, where the areas are also the shape of the quadrilateral they describe. * [https://web.archive.org/web/20110719175018/http://mzone.mweb.co.za/residents/profmd/classify.pdf The role and function of a hierarchical classification of quadrilaterals] by Michael de Villiers {{Bangun}} {{Poligon}} [[Kategori:Segi empat\| ]]